A one-phase Stefan problem with size-dependent thermal conductivity and moving phase change material under the most generalized boundary condition

V Chaurasiya, R Kumar Chaudhary… - Waves in Random and …, 2022 - Taylor & Francis
In the current paper, we analyzed a one-phase moving boundary problem that includes a
size-dependent thermal conductivity and a moving phase change material under the most …

A Stefan problem with moving phase change material, variable thermal conductivity and periodic boundary condition

A Kumar - Applied Mathematics and Computation, 2020 - Elsevier
In this paper, we discuss a Stefan problem that includes a moving phase change material
and a size-dependent thermal conductivity. This model also includes the time-dependent …

Heat transfer—a review of 1994 literature

ERG Eckert, RJ Goldstein, WE Ibele… - International Journal of …, 1997 - Elsevier
This review surveys and characterizes papers comprising various fields of heat transfer that
were published in the literature during 1994. It is intended to encompass the English …

Explicit and approximated solutions for heat and mass transfer problems with a moving interface

DA Tarzia - Advanced topics in mass transfer, 2011 - books.google.com
The goal of this chapter is firstly to give a survey of some explicit and approximated solutions
for heat and mass transfer problems in which a free or moving interface is involved …

Analytical and numerical solution of a generalized Stefan problem exhibiting two moving boundaries with application to ocean delta formation

J Lorenzo-Trueba, VR Voller - Journal of Mathematical Analysis and …, 2010 - Elsevier
A model associated with the formation of sedimentary ocean deltas is presented. This model
is a generalized one-dimensional Stefan problem bounded by two moving boundaries, the …

[HTML][HTML] A moving boundary problem with variable specific heat and thermal conductivity

A Kumar, AK Singh - Journal of King Saud University-Science, 2020 - Elsevier
This article presents a Stefan problem including thermal conductivity and heat capacity as
the functions of temperature. At α= β, the exact solutions to the proposed problem are …

One-phase Stefan problem with temperature-dependent thermal conductivity and a boundary condition of Robin type

AC Briozzo, MF Natale - Journal of Applied Analysis, 2015 - degruyter.com
We study a one-phase Stefan problem for a semi-infinite material with temperature-
dependent thermal conductivity with a boundary condition of Robin type at the fixed face x …

Existence of an exact solution for a one-phase Stefan problem with nonlinear thermal coefficients from Tirskii's method

AC Briozzo, MF Natale, DA Tarzia - Nonlinear Analysis: Theory, Methods & …, 2007 - Elsevier
The mathematical analysis of a one-phase Lamé–Clapeyron–Stefan problem with nonlinear
thermal coefficients following [GA Tirskii, Two exact solutions of Stefan's nonlinear problem …

A nonlinear supercooled Stefan problem

AC Briozzo, MF Natale - Zeitschrift für angewandte Mathematik und Physik, 2017 - Springer
We study the supercooled one-phase Stefan problem for a semi-infinite material with
temperature-dependent thermal conductivity at the fixed face x= 0 x= 0. We obtain sufficient …

[HTML][HTML] Exact and approximate solutions of a phase change problem with moving phase change material and variable thermal coefficients

AK Singh, A Kumar - Journal of King Saud University-Science, 2019 - Elsevier
This article explores a phase change problem in a one-dimensional infinite domain x≥ 0
including the time-dependent speed of a phase change material. In this problem, the …